The goal of this paper was to investigate the role of formal constraints (e.g. definitions, theorems) in geometric reasoning. Four students participated in a task-based interview including 2D Euclidean geometric locus problems. Data were obtained from observations, interviews, and video recordings and analyzed by Toulmin's argumentation model. The…

In the United States, the first course in single-variable calculus is considered tertiary level mathematics. Initially offered in high schools as a means for strong students to do college-level work, it is now taken by over 20% of high school students and perceived to be a prerequisite for admission into selective colleges and universities. This…

Educational mathematics researchers and educationists emphasise teaching for understanding. However, does it influence students' mathematical learning behaviour? The purpose of this study was to explore late adolescent students' views on mathematical learning behaviour in teaching-for-understanding classes. Content analysis of secondary data from…

This study aims to find out if the results of students' learning through the implementation of a group investigation learning model through mathematical domino media is better than the implementation of a conventional learning model on the rank number and root form materials. The study was a quasi-experiment with the design of a randomized control…

Place value concept that learns especially in primary school ages is also the basis of many issues students will encounter throughout their learning lives. This research aims to developmentally determine understanding of the place value concept in early childhood. The model of research is a case study from qualitative research methods. The study…

In this systematic review, we investigated how content knowledge (CK) and pedagogical content knowledge (PCK) in the domains of mathematics, science and literacy are represented in current research regarding early childhood pre- and in-service teachers. In our systematic literature search, we found 151 publications, of which 42 remained in the…

Educational institutions are more concentrated on preferable measured outcomes rather than theoretical ones. Measuring subject knowledge obtains through written examination is easy, even as skills such as critical and logical thinking, decision making, problem-solving ability, creative thinking are difficult to measure. The education field is…

Out-of-field teaching of mathematics is a reality in many secondary schools in the world. The incidence of out-of-field teaching generally occurs in low socio-economic communities and, in Australia, in schools located in rural and remote locations. The theory of boundary crossing enables positive perspectives of teaching out-of-field to be…

With this article, we aim to spur a conversation on research implementation in the context of collaborations of mathematics teachers and educational researchers, with a special interest in projects situated in university mathematics education. Implementation has been often discussed in relation to the education of school teachers, and we suggest…

This article presents theoretical knowledge, sample activities, and reflections from the implementation process on how teachers can benefit from the Variation Theory to help students enhance their mathematical comprehension. In this context, "congruence of triangles" was conceptualized as an object of learning. Critical aspects were…

This study determined the effect of Bingo game instructional strategy on Pupils' mathematics Achievements of public primary schools in Oyo state, Nigeria. One hundred and twelve public primary school grade 3 pupils participated in the study. This study adopted the pretest-posttest control group quasi-experimental design with a 2x3 factorial…

According to NCTM's "Principles and Standards for School Mathematics" (2000), the act of estimating is reflective of students' mathematical intuition and number sense. Students with more developed number sense are better able to judge the reasonableness of their results. To promote estimation, Jennifer Marshall explored incorporating…

Investigating symmetric dot patterns provides opportunities for foundational mathematical learning that is not restricted to multiplication alone. Students have opportunities to learn about the properties of symmetry, about the generalization of patterns, about writing and interpreting equations--all areas of study in grades 3-5. And symmetric dot…

Over the course of 18 months, teams at the University of Chicago and Stanford University joined with other leaders across the United States and world to consider the issue of the types of mathematics used in the classroom. It quickly became clear that all students--starting from the youngest in prekindergarten to those in college--need to learn…

This study reflects on the importance of problem solving and the need to be aware of different methods and strategies to respond to the challenges posed by current mathematics education. The experience was carried out on the island of Tenerife and aimed to assess the training of primary education teachers in problem solving strategies. For this…